#include<algorithm>
#include<iomanip>
#include<ios>
#include<iostream>
#include<stdexcept>
#include<string>
#include<vector>
class Student_info
{
public:
	Student_info();					//construct an empty Student_info object
	Student_info(std::istream&);	//construct one by read a stream
	std::string name() const 
	{	
		return n;
	}
	bool valid() const
	{
		return !homework.empty();
	}
	std::istream& read(std::istream&);
	double grade() const;
	
private:
	std::string n;
	double midterm,final;
	std::vector<double> homework;
};

bool compare(const Student_info&,const Student_info&);



int main()
{
	Student_info record;
	try
	{
		double final_grade=record.grade();
		std::streamsize prec=std::cout.precision();
		std::cout<<std::setprecision(3)<<final_grade
				<<std::setprecision(prec)<<std::endl;
	}
	catch(std::domain_error e)
	{
		std::cout<<e.what()<<std::endl;
	}

    return 0;
}


double median(std::vector<double> vec)
{
	typedef std::vector<double>::size_type vec_sz;

	vec_sz size=vec.size();
	if(size==0)
		throw std::domain_error("median of an empty vector");
	std::sort(vec.begin(),vec.end());

	vec_sz mid=size/2;
	return size%2==0?(vec[mid]+vec[mid-1])/2:vec[mid];
}


//compute a student's overall grade from midterm and final exam grades
double grade(double midterm,double final,double homework)
{
	return 0.2*midterm+0.4*final+0.4*homework;
}

//compute a student's overall grade from minterm and final exam grades
//and vector of homework grades
//this funtion does not copy its argument median does so far
double grade(double midterm,double final,const std::vector<double>& hw)
{
	if(hw.size()==0)
		throw std::domain_error("student has done no homework");
	return grade(midterm,final,median(hw));
}



bool compare(const Student_info& x,const Student_info& y)
{
	return x.name()<y.name();
}


//read homework grades from an input stream into a 'vector'
std::istream& read_hw(std::istream& in,std::vector<double>& hw)
{
	if(in)
	{
		//get rid of previous contents
		hw.clear();

		//read homework grades
		double x;
		while(in>>x)
			hw.push_back(x);
		
		//clear the stream so that input will work for the next student
		in.clear();
	}
	return in;
}
//std::istream& read(std::istream&);
std::istream& Student_info::read(std::istream& in)
{
	in>>n>>midterm>>final;
	read_hw(in,homework);

	return in;
}


//the default constructor
Student_info::Student_info():midterm(0),final(0)
{
}
Student_info::Student_info(std::istream& is)
{
	read(is);
}
double Student_info::grade() const
{
	return ::grade(midterm,final,homework);
}